Summary: Eur. Phys. J. B 33, 447­455 (2003)
DOI: 10.1140/epjb/e2003-00185-4 THE EUROPEAN
PHYSICAL JOURNAL B
Stratifications of cellular patterns: hysteresis and convergence
C. Oguey1,a
, N. Rivier2
, and T. Aste3
1
LPTMb
, Universit´e de Cergy-Pontoise, 95031 Cergy-Pontoise, France
2
LDFC, Universit´e Louis Pasteur, 67084 Strasbourg, France
3
Dep. of Applied Mathematics, RSPHYSSE, Australian National University, ACT 0200 Canberra, Australia
Received 14 November 2002 / Received in final form 14 May 2003
Published online 3 July 2003 ­ c EDP Sciences, Societ`a Italiana di Fisica, Springer-Verlag 2003
Abstract. A foam is a space-filling cellular pattern, that can be decomposed into successive layers or strata.
Each layer contains all cells at the same topological distance to an origin (cell, cluster of cells, or basal
layer). The disorder of the underlying structure imposes a characteristic roughening of the layers. In this
paper, stratifications are described as the results a deterministic "invasion" process started from different